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Finding the Fourth Proportional to 198,656.73, 297,978.50 and 86,337.06

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Solution

The fourth proportional to 198,656.73, 297,978.50 and 86,337.06 is: 129,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,656.73 : 297,978.50 = 86,337.06 : x
  2. Step 2: Convert to fraction form
    198,656.73/297,978.50 = 86,337.06/x
  3. Step 3: Cross multiply
    198,656.73x = 297,978.50 × 86,337.06
  4. Step 4: Simplify right side
    198,656.73x = 25,726,587,201.52
  5. Step 5: Solve for x
    x = 25,726,587,201.52/198,656.73
  6. Step 6: Final answer
    x = 129,502.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.